Just wondering why there can be more than one delta solution for epsilon/delta proofs of a limit. I mean, shouldn't there just be one delta that can be used at any point on the function? Why is it that there is more than one and you choose the minimum delta..? I saw a geometric representation of why you would choose the minimum (if part of the function was near an asymptote) but can't you find one so that even at the asymptote it will be within epsilon? I hope I am making sense.